Question

For which value of x must the expression √97x be further simplified?5101520

Answer 1

Answer with explanation:

The Expression which is equal to ,

 $=\sqrt{97 x}$

in which 97 is Prime Number, and x is a Variable.

So, for further Simplification, x must be a Composite Number, having two Identical Factor.

For, x=5,  $=\sqrt{97 x}$ , can not further Simplified.

For, x=10,  $=\sqrt{97 x}$ , also can not further Simplified.

For, x=15,  $=\sqrt{97 x}$ , can not  be further Simplified.

But for, x=20

 $=\sqrt{97 \times 20}\\\\=\sqrt{97 \times 2\times 2 \times 5}\\\\=2 \sqrt{97 \times 5}\\\\=2\sqrt{485}$

The Expression can be further Simplified.

Option D: 20

Answer 2

$\bf \sqrt{97x}\qquad x=20\implies \sqrt{97\cdot 20}\qquad \begin{cases} 20\implies 2\cdot 2\cdot 5\\ \qquad 2^2\cdot 5 \end{cases} \\\\\\ \sqrt{97\cdot 2^2\cdot 5}\implies 2\sqrt{97\cdot 5}\implies 2\sqrt{485}$